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Home » B) Shift it left due to rising input prices and supply constraints - American Beagle Club

B) Shift it left due to rising input prices and supply constraints - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 e 0\), and \(x

📌 e y\) (to avoid division by zero in the original expression).

📌 Check that \(x = \sqrt{5} y\):

📌 Then \( rac{x+y}{x-y} = rac{\sqrt{5}+1}{\sqrt{5}-1} = rac{3+\sqrt{5}}{2} \), valid.

📌 Similarly for \(x = -\sqrt{5} y\):

📌 \( rac{-\sqrt{5}+1}{-\sqrt{5}-1} = rac{\sqrt{5}-1}{\sqrt{5}+1} = rac{(\sqrt{5}-1)^2}{5 - 1} = rac{6 - 2\sqrt{5}}{4} \), but we earlier derived it correctly as \( rac{3 - \sqrt{5}}{2} \), so it checks.

📌 Therefore, the solutions are all real pairs where \( x = \sqrt{5} y \) or \( x = -\sqrt{5} y \), \( y

📌 e 0 \). However, since the equation is symmetric in \((x,y)\) under this proportionality and no restriction on sign, the solution set is:

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